A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations

DOI10.1016/j.cam.2006.05.032zbMath1121.65090OpenAlexW2059204953MaRDI QIDQ2372951

G. I. Shishkin, Ali R. Ansari, Shaaban A. Bakr

Publication date: 17 July 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.05.032

zbMATH Keywords

convergencenumerical resultssingular perturbationerror bounds\(\varepsilon\)-uniform convergenceShishkin meshfinite differenceparabolic boundary layersdelay parabolic differential equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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